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Wave motions around a 2-D viscous Burgers' shock profile

Hold Date 2018-06-11 16:00~2018-06-11 17:00

Place Seminar Room W1-D-625, West Zone 1, Ito campus, Kyushu University

Object person  

Speaker Shih-Hsien Yu (National University of Singapore)

In this talk we introduce the Laplace wave trains to form a basis for the 2-D wave scattering around the 2-D inviscid Burgers' shock wave for the viscous Burgers' profile for a 2-D Burgers' equation. With all those wave trains around the inviscid shock wave, one can construct the wave trains for the problem linearized around the viscous shock profile. After the complete structure of the wave scattering in terms of the Laplace wave train, one can invert the wave train information into a pointwise space-time structure of the Green's function for the problem linearized around the Burgers' shock profile. With the pointwise structure of the Green's function, the nonlinear wave scattering follows.